user
Given the set of data, write a function in Python to calculate the logarithmic average.
Data = [1,2,4,8,16]

assistant
def logarithmic_average(data):
    """
    Calculates the logarithmic average of a given set of data.

    Parameters:
    data (list): The set of data to calculate the logarithmic average of.

    Returns:
    float: The logarithmic average of the given set of data.
    """
    total_logs = 0
    for item in data:
        total_logs += math.log(item)
  
    return math.exp(total_logs / len(data))